The area of a greeting card is 25.62 square inches. If the length of the card is 6.1
inches, find its width.

Answer:

10) 7 meters

11) 10 yards

12) 452.16 inches²

13) 235.5 meters²

14) 22608 centimeters²

15) 4220.16 centimeters²

16) 1177.5 centimeters²

17) 141.3 millimeters²

Step-by-step explanation:

10) The volume of a rectangular prism is calculated by multiplying the height, width, and length of the shape. In this question, we have the volume, the width, and height, but not the length. To find it, we can divide the width and height from the volume.

First, divide the width.

[tex]\frac{210}{5}[/tex] = 42

Next, the height.

[tex]\frac{42}{6}[/tex] = 7

The length of the shape is 7 meters.

----------------------------------------------------------------------------------------------------------------

11) For this question, we can do the same thing. Take the volume, then divide the length and width from it.

[tex]\frac{360}{6}[/tex] = 60

[tex]\frac{60}{6}[/tex] = 10

The height is 10 yards.

----------------------------------------------------------------------------------------------------------------

12) We have to find the volume of a cylinder. The formula for this is [tex]V=\pi r^2h[/tex]. We will use 3.14 for pi. The radius is 4 in and the height is 9 in. We can plug our values into the equation and solve.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](4²)(9)

V = 3.14(4²)(9)

V = 50.24(9)

V = 452.16

The volume is 452.16 inches².

----------------------------------------------------------------------------------------------------------------

13) We will use the same formula for this. Our radius is 5 m and the height is 3 m. Plug the values in and solve.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](5²)(3)

V = 3.14(5²)(3)

V = 78.5(3)

V = 235.5

The volume of this cylinder is 235.5 meters².

----------------------------------------------------------------------------------------------------------------

14) The radius of this cylinder is 15 cm. The height is 32 cm. Put these numbers into our formula.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](15²)(32)

V = 3.14(15²)(32)

V = 708.5(32)

V = 22608

The volume of this cylinder is 22608 centimeters².

----------------------------------------------------------------------------------------------------------------

15) The next cylinder has a radius of 8 cm and a height of 21 cm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](8²)(21)

V = 3.14(8²)(21)

V = 200.96(21)

V = 4220.16

The cylinder has a volume of 4220.16 centimeters².

----------------------------------------------------------------------------------------------------------------

16) This cylinder has a radius of 5 cm and a height of 15 cm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](5²)(15)

V = 3.14(5²)(15)

V = 78.5(15)

V = 1177.5

The volume is 1177.5 centimeters².

----------------------------------------------------------------------------------------------------------------

17) The dimensions of this cylinder are 3 mm and 15 mm.

V = [tex]\pi[/tex]r²h

V = [tex]\pi[/tex](3²)(15)

V = 3.14(3²)(15)

V = 9.42(15)

V = 141.3

The volume is 141.3 millimeters².

----------------------------------------------------------------------------------------------------------------

I hope this helps ^^ Good luck

Answer:

Well personally I would use your fomula because its different ways to do this and is taught differnet but the way I was taught was to add up all the sides and multiply

Step-by-step explanation:

add all of them

Answer:

7.1 in

Step-by-step explanation:

Given:

θ = 45°

Radius (r) = 9 in.

Required:

Length of the arc

Solution:

Arc length = θ/360 × 2πr

Plug in the values

Arc length = 45/360 × 2 × π × 9

Arc length = 7.06858347 = 7.1 in (nearest tenth)

Answer:

You divide the diameter by 2 to get the radius.

Answer:

1000 children

Step-by-step explanation:

Find the total units of adults and children = 2 + 3 = 5

5 units = 5000

1 unit = 5000 ÷ 5 = 1000

100% ÷ 5 units = 20% each unit

3 units = 20% x 3 = 60%

Since we all know that 60% of the people are children and 40% of the children are girls...

60 - 40 = 20%

20% = 1000

Answer:

15

Step-by-step explanation:

17+17=34

64-34=30

30÷2=15

so the answer is 15

Answer:

40

Step-by-step explanation:

5-2(3+9)+4

5-2(12)+4

3(12)+4

36+4

40

Answer:

255 m

Step-by-step explanation:

From the given question, the surface of the water body is the reference point. And this point is assumed to be 0, so that any distance above it is positive, and any distance below is negative. This is synonymous to the number line system.

Thus,

For the aircraft, its height = +200 m

For the submarine, its depth = -55 m

So that the difference between the submarine and aircraft can be determined as;

200 - (-55)

= 200 + 55

= 255 m

The distance between the submarine and aircraft is 255 m.

Answer:

a) $39+8x<75$, b) no, c) at most 4 pairs

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Fractions and decimals are not considered integers

Answer:

=4

Step-by-step explanation:

4 is the correct answer

Answer:

x<24

x<22

x<23

Step-by-step explanation:

X - 4<20

move 4 and add it to 20

x<24

same goes for the other solutions

Answer:

EF = 27

Step-by-step explanation:

(x + 34)/2 = 2x - 13

x+ 34 = 4x - 26

3x = 60

x = 20

EF = 2(20) -13 = 27

Answer:

11.  EF = 27

Step-by-step explanation:

11.

Median of a trapezoid:

2x - 13 = 20 + x + 14

                    2

2(2x - 13) = 20 + x + 14

4x - 26 = 34 + x

4x - x = 34 + 26

3x = 60

x = 20

EF = 2x - 13

EF = 2(20) - 13

EF = 40 - 13

EF = 27

Step-by-step explanation:

False. the number is the x coordinate

True. the x-axis is horizontal

False. 0,0 is called the origin.

Answer:

43.65 cm squared

Step-by-step explanation:

Answer:

[tex]a = \frac{1}{134217728}[/tex]

Step-by-step explanation:

Given

[tex]8^x = a^{-x/9}[/tex]

Required

Find a

Take log of both sides

[tex]log(8^x) = log(a^{-x/9})[/tex]

Apply law of logarithm

[tex]x\ log(8) = (-x/9) log(a)[/tex]

Divide both sides by a

[tex]log(8) = -\frac{1}{9} log(a)[/tex]

Multiply both sides by -9

[tex]-9\ log(8) = log(a)[/tex]

Apply law of logarithm

[tex]log(8^{-9}) = log(a)[/tex]

Cancel out log

[tex]8^{-9} = a[/tex]

Rewrite as:

[tex]a = 8^{-9}[/tex]

Apply law of indices

[tex]a = \frac{1}{8^9}[/tex]

[tex]a = \frac{1}{134217728}[/tex]

Answer: The opposite of 0 is 0

Step-by-step explanation: Hope this help :D

Answer:

0

Step-by-step explanation:

because there is no opposite to 0 so it would just be 0

Answer: D, x^3 (x-7)

Step-by-step explanation:

plug into G(f(x))

x^3 (x - 7)

Answer:

28° 62°

Step-by-step explanation:

Hope this helps :)

Answer:

It is 51

Step-by-step explanation:

because you have to add the 80 and 49 them you will get 129 and then subtract 180 by 129 then you will get your answer

Answer:

51°

Step-by-step explanation:

Sum of angles in a triangle is supplementary,

x + 49° + 80° = 180°

x + 129° = 180°

x = ( 180 - 129 )

x = 51°

Answer:

4.13 m

Step-by-step explanation:

using Pythagoras theorem

Answer:

6x-8

Step-by-step explanation:

2*3x=6x

2*-4= -8

6x-8

The Equivalent Expression of 2(3x-4) is 6x- 8.

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Given:

2(3x-4)

Using the Distributive Property

a x (b+ c)= (a x b)+ ( a x c)

So,  2(3x-4)

=2(3x)- 2(4)

= 6x - 8

Hence, the Equivalent Expression is 6x- 8.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

A

Step-by-step explanation:

Because everything else is wrong trust me

9514 1404 393

Answer:

  5 cm

Step-by-step explanation:

The kite is symmetrical about the long axis, so the height of each of the triangles is half the overall width of the kite. (10 cm/2 = 5 cm)

The height of the triangle h is 5 cm.

Answer:

18 is the correct answer hope it helps

1. x=-2, x=0

So, the equation in factored form would be x(x+2)=0.

2. x=0, x=4

So, the equation in factored form would be x(x-4)=0.

3. x=-2, x=0, x=4

So, the equation in factored form would be x(x+2)(x-4)=0.

Answer:

-2, 0, and 4

second part is none

third part is B

Step-by-step explanation:

I ended up doing it right now

Answer:

B or D is correct i think it's b most likey

Step-by-step explanation:

Answer: x^20

Step-by-step explanation:

We can easily solve this question by using a graphing calculator and plotting each of the graphs.

We know that

* ln(x) grows the slowest for a given input of x

* sin(x) is a periodic function with values between [-1,1]

*Exponentials grow faster than the rest of the functions, so

x^20 grows the fastest as x goes to infinity

Step-by-step explanation:

Answer:

2^x

Step-by-step explanation:

Answer:

a=326.76 yd^2

Step-by-step explanation:

a= 2pi(d/2)h+2pi(d/2)^2=2pi(8/2)9+2pi(8/2)^2= 326.72564yd^2